Introduction to Calculus (MTH 1101)

الدوال، الحدود، التفاضل، تطبيقات التفاضل، ورسم المنحنيات.

Total Lessonses 52 Total hours : 29:47:17 Duration Of Course 17 weeks
  • About the Course :

    This course covers the differentiation and integration of functions, including limits and continuity and their applications, maximizations, rate of change, and graphing functions.



  • You Will Learn :

    Recognize the Characteristics of Functions and Graphs, Definition of Limits, Evaluating Limits, Using Limits Rules, Limits of Trigonometry Functions, Continuity Functions, Definition of Derivatives, Tangent Line Equation and Slope, Rules of Derivatives, Chain Rule, Implicit Functions, Trigonometry Functions Derivatives, Logarithms and Exponential Functions Derivatives, Rate of Change Problems, Application of Derivatives Mean Value Theorem and Rolle’s Theorem, Extrema Values and Critical Points, Increasing and Decreasing Functions, Concavity and Infliction Points, Function Graphs, Summations, Reiman Sum and Integration, Rules of Integrations, Definite Integrations, and Integration by Substitutions.



  • Target Group :

    *Academic Level : Academic University Student
    * Speciality : Mathematics
    * Material : MTH 1101
    * University Name : Umm Al-Qura University



  • Suggested courses:

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Total Lessonses 52 Total Hours 29:47:17 Duration Of Course 17 weeks
Introduction To Calculus
2 Lessons 1:37:46
Introduction To Calculus Part 1
0:53:02
Show
Recorded Session
Introduction To Calculus Part 2
0:44:44
Show
Recorded Session
Recognize The Characteristics of a Functions and Graphs
3 Lessons 1:08:10
Functions
0:33:44
Show
Recorded Session
Functions Operations
0:18:43
Closed
Recorded Session
Inverse Functions
0:16:13
Closed
Recorded Session
Introduction to Limits
2 Lessons 1:01:49
Introduction to Limits Part 1
0:30:35
Closed
Recorded Session
Introduction to Limits Part 2
0:31:14
Closed
Recorded Session
Definition of Limits
1 Lessons 0:19:49
Definition of Limits
0:19:49
Closed
Recorded Session
Using Limits Rules
3 Lessons 1:39:52
Limits Laws Part 1
0:30:35
Closed
Recorded Session
Limits Laws Part 2
0:31:14
Closed
Recorded Session
Limits Using The Limits Laws
0:27:14
Closed
Recorded Session
Limits Involving Infinity
1 Lessons 0:31:23
Limits Involving Infinity
0:31:23
Closed
Recorded Session
Limits at Infinity (Horizontal Asymptotes)
1 Lessons 0:32:05
Limits at Infinity (Horizontal Asymptotes)
0:32:05
Closed
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Continuity of Functions
2 Lessons 1:08:31
Continuity part 1
0:31:37
Closed
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Continuity Part 2
0:36:54
Closed
Recorded Session
Definition of Derivatives and Tangent Line Equation
4 Lessons 2:19:15
Derivatives and Rates of Change part 1
0:39:48
Closed
Recorded Session
Derivatives and Rates of Change part 2
0:39:03
Closed
Recorded Session
Differentiation Formulas Part 1
0:36:26
Closed
Recorded Session
Differentiation Formulas Part 2
0:23:58
Closed
Recorded Session
Slope and Derivatives
1 Lessons 0:27:50
The Derivative As a Function
0:27:50
Closed
Recorded Session
Rules of Derivatives
2 Lessons 0:59:14
Deivatives of polynomials
0:16:54
Closed
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The product and Qutient Rules
0:42:20
Closed
Recorded Session
The Chain Rule
1 Lessons 0:38:29
The Chain Rule
0:38:29
Closed
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Implicit Functions
1 Lessons 0:35:04
Implicate Derivatives
0:35:05
Closed
Recorded Session
Trigonometry Functions Derivatives
1 Lessons 0:41:34
Derivatives of Trigonometric Functions
0:41:34
Closed
Recorded Session
Logarithms and Exponential Functions Derivatives
2 Lessons 0:28:50
Derivative of Natural Exponents
0:14:53
Closed
Recorded Session
Derivative of Natural Logarithms
0:13:57
Closed
Recorded Session
Derivatives for Logrithmic and Inverse Trigonometric Functions
1 Lessons 0:34:11
Derivatives for Logrithmic and Inverse Trigonometric Functions
0:34:11
Closed
Recorded Session
Higher Derivatives
1 Lessons 0:08:18
Higher Derivatives
0:08:18
Closed
Recorded Session
How Derivatives Affect the Shape
2 Lessons 1:09:53
How Derivatives Affect The Shape of a Graph Part 1
0:32:14
Closed
Recorded Session
How Derivatives Affect The Shape of a Graph Part 2
0:37:39
Closed
Recorded Session
Indeterminate Forms and Hospital Rule
1 Lessons 0:24:17
Indeterminate Forms and Hospital Rule
0:24:17
Closed
Recorded Session
Extrema Values and Critical Points
2 Lessons 0:59:51
Minimum and Maximun Values part 1
0:28:43
Closed
Recorded Session
Minimum and Maximun Values part 2
0:31:10
Closed
Recorded Session
Mean Value Theorem and Rolls Theorems
1 Lessons 0:21:34
The Mean Value Theorem
0:21:34
Closed
Recorded Session
Concavity and Infliction Points
1 Lessons 0:10:20
Concavity & Inflection points
0:10:20
Closed
Recorded Session
Function Graphs
1 Lessons 0:45:26
Summary of Curve Sketching
0:45:26
Closed
Recorded Session
Related Rates
2 Lessons 1:13:20
Related Rate part 1
0:31:34
Closed
Recorded Session
Related Rate part 2
0:41:46
Closed
Recorded Session
Optimization Problems
1 Lessons 0:19:51
Optimization Problems
0:19:51
Closed
Recorded Session
Summations, Reiman Sum and Integration
3 Lessons 1:17:40
Summation Notation part 1
0:22:36
Closed
Recorded Session
Summation Notation part 2
0:16:21
Closed
Recorded Session
Remian Sum and Definite Integrals
0:38:49
Closed
Recorded Session
Rules of Integrations
5 Lessons 2:45:57
Antiderivatives and Infinite Integrals
0:29:25
Closed
Recorded Session
Indefinite Integrals part1
0:21:07
Closed
Recorded Session
Indefinite Integrals part 2
0:29:54
Closed
Recorded Session
Indefinite Integrals part 3
0:14:01
Closed
Recorded Session
Indefinite Integratioon and the NET ChangeTheorem
1:11:30
Closed
Recorded Session
Integrals and Definite Integrations
3 Lessons 2:07:19
Integrals
1:22:52
Closed
Recorded Session
Numerical Integrals
0:21:27
Closed
Recorded Session
Definite Integrals and _Mean Value Theorem of Integration
0:23:00
Closed
Recorded Session
Integration by Substitutions
1 Lessons 0:36:20
The Rule of Substitution
0:36:20
Closed
Recorded Session
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مجموعة المستقبل للتعليم

Academic University Student

Speciality : Mathematics

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Saad IBRAHIM Aleidi
very good

علي محمد كمال
good job